AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVMultiplying Monomials and Binomials

Multiplying Monomials and Binomials Answers

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1
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Kylie explained that will result in a difference of squares because . Which statement best describes Kylie’s explanation?

Question illustration
A
Kylie is correct.
B
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
C
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
D
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
2
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Which will result in a perfect square trinomial?

A
(3 x minus 5)(3 x minus 5)
Option A
B
(3 x minus 5)(5 minus 3 x)
Option B
C
(3 x minus 5)(3 x + 5)
Option C
D
(3 x minus 5)(negative 3 x minus 5)
Option D
3

Which is equivalent to , and what type of special product is it?

Question illustration
A
, the difference of squares
Option A
B
, a perfect square trinomial
Option B
C
, the difference of squares
Option C
D
, a perfect square trinomial
Option D
4

What is the product?

Question illustration
A
2 x squared minus 4
Option A
B
2 x squared minus 8
Option B
C
2 x squared minus 4 x
Option C
D
2 x squared minus 8 x
Option D
5

Which products result in a perfect square trinomial? Select three options.

Question illustration
A
(negative x + 9)(negative x minus 9)
Option A
B
(x y + x)(x y + x)
Option B
C
(2 x minus 3)(negative 3 + 2 x)
Option C
D
(16 minus x squared)(x squared minus 16)
Option D
E
(4 y squared + 25)(25 + 4 y squared)
Option E
6

Which statements are true about the fully simplified product of ? Select two options.

Question illustration
A
The simplified product has 2 terms.
B
The simplified product has 4 terms.
C
The simplified product has a degree of 2.
D
The simplified product has a degree of 4.
E
The simplified product, in standard form, has exactly 2 negative terms.
7

What is the product?

Question illustration
A
negative 48 r squared minus 10 r + 3
Option A
B
negative 48 r squared minus 10 r minus 3
Option B
C
negative 48 r squared + 3
Option C
D
negative 48 r squared minus 3
Option D
8

Which shows a perfect square trinomial?

A
50 y squared minus 4 x squared
Option A
B
100 minus 36 x squared y squared
Option B
C
16 x squared + 24 x y + 9 y squared
Option C
D
49 x squared minus 70 x y + 10 y squared
Option D
9

What is the product?

Question illustration
A
2 x squared minus 4
Option A
B
2 x squared + 4
Option B
C
2 x squared + 7 x minus 4
Option C
D
2 x squared minus 7 x minus 4
Option D
10

Which shows a difference of squares?

A
10 y squared minus 4 x squared
Option A
B
16 y squared minus x squared
Option B
C
8 x squared minus 40 x + 25
Option C
D
64 x squared minus 48 x + 9
Option D

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